# Algebra for the 11 plus entrance exam

## For the Eleven Plus and CEM exams, pupils need to be able to

**Substitute numbers into formulae and evaluate the formula.**- Example 1: Work out the value of 3a – 2b + 4c if a = 5, b = 3 and c = 2
- Example 2: C = 5 x (F – 32) ÷ 9. What is C when F is (a) 50 and (b) 5?

**Simplify algebraic expressions (collect like terms).**- The angles of a triangle are a, 2a and 2a + 30. Work out the value of a.

**Solve equations with the unknown on one side.**- What is n if 6n – 5 = 37?

**Solve equations with the unknown on both sides (accompanying video)**- Work out the value of x if 5x + 7 = 25 – x

**Solve equations with 2 or more variables.**- There are 13 animals in the barn. Some are chickens and some are pigs. There are 40 legs in all. How many of each animal are there?

**Form algebraic expressions and equations (accompanying video)**- The newsagent charges x pence for a biro and y pence for a pencil. Write down an expression using x and y for the cost of three biros and two pencils.

**Forming expressions and equations Video!**

**Solve equations with the unknown on both sides of the equal sign Video!**

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